# Q3     If   is a differentiable function and if      does not vanish          anywhere, then prove that

It is given that
is a differentiable function
Now, f is a differential function. So, f is also a continuous function
We obtain the following results
a ) f is continuous in [-5,5]
b ) f is differentiable in (-5,5)
Then, by Mean value theorem we can say that there exist a c  in (-5,5) such that

Now, it is given that    does not vanish anywhere
Therefore,

Hence proved

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